Math 143
PreCalculus Algebra and Trigonometry: A Review

Text: Functions Modeling Change, 3rd edition, with WileyPLUS Access, Connally, Hughes-Hallett, Gleason, et al, Wiley 2007
Prerequisites: Minimum ACT math score of 26, department exam or Math 100 or Math 105 with a grade of C or better. A Graphing calculator is required. A TI-83+, TI-84, TI-86, TI-89, or better is strongly recommended.

The following coding is used in the assignment section below: Exercises (Ex), WileyPLUS (WP), Extra Practice (EP), Problems (Pb).

TopicSection Assignment

1 Introduction/Tools for Chapter 1 (p 55) Homework only
1.1 Functions
Ex: p 58: 8,11,13,14,16,17,22-24,26,28,31,32,36,37,39,42,44,51 WP: 14,16,26,34,37,42 EP: 15,21,25,29,30,35,38,43,46,47,50
Ex: 1-7,9-12,14,16 Pb: 17-22,26,28-31,33-36 WP: 9,10,11,30,33,34,35 EP: 23,24

2 1.2 Rate of Change Ex: 1,3-7,10,12 Pb: 13,14,16-18,20,22-24 WP: 1,7 EP: 15,21

3 1.3 Linear Functions Ex: 1-10 Pb: 13,14,16,18-20,23,24,26-28,31 WP: 3,26 EP: 11,12,22,32

4 Direct Proportion Handout

5 1.4 Formulas for Linear Functions Ex: 2,5,7,10,12,14-16,18-20,23,25,29,30 Pb: 31,32,34,35,37abc,38,40,42,43 WP: 10,16,21,23, 25,31-35 EP: 3,4,6,8,9,11,21,22,26,33,41

6 1.5 Geometric Properties of Linear Functions Ex: 2,6,9,10,13,14 Pb: 15,16,19,20,22,24,25,28,30,31,33,35 WP: 9,15,16,22,25 EP: 17,18,23,32,34

7 1.6 Fitting Linear Functions to Data Ex: 1,3-6,8 Pb: 1,3-6,8

8 Tools for Chapter 2 (p 99) Homework only
2.1 Input and Output
Ex: p 102: 9,14,17,20,21,24,26,27,35,39,43,47,48,53,56,59,61,64,69,73,78,80-82,85-87,92,93,97,101,103,105, 109-111,114,115,119 WP: 24,26,27,61,64,69,81,82,85,92,93,101,105,110,111,114 EP: 25,66,70,71,84
Ex: 1-3,5,6,9,10,13,15,16,18 Pb: 22,24-26,29-35,40,41 WP: 2 EP: 4,8,11,17,27,28

9 2.2 Domain and Range Ex: 1-7,9,11,13,14 Pb: 15-20,22-29,31,32,34,35 WP: 1-3,5-7,18,29

10 2.3 Piecewise Defined Functions Ex: 1,3-5,7,9 Pb: 11-16,19 EP: 2,10

11 2.4 Composite and Inverse Functions Ex: 2,3,5,7,9-11,14,16,18-20,22 Pb: 24-26,29,30,32,35-38,40 WP: 9,10,11,14,18-20 EP: 1,4,6,8,12,15, 17,23,28,31,34,39

12 2.5 Concavity Ex: 1,2,5,7-12 Pb: 13-16,19,21 WP: 5,8,9 EP: 18,20

13 2.6 Quadratic Functions Ex: 1,2,4,5,7,8,11,13,14,17,18,20,23,24 Pb: 26-28,30,31,34 WP: 1,4,8,13,18,31 EP: 9

14 Review: Chapter 1
Review: Chapter 2
Ex: p 50: 1-5,7-10,12,13,15,16,18 Pb: 19-24,26,27,30-32,34-37,39-43 and p 72 number 31 Run linear regressions for walking,bicycling and swimming.
Ex: 3-11,13,16-20 Pb: 21-33,35,36,38-40,42,43,46,47

15 Test 1

16 Tools for Chapter 3 (p 146) Homework only
3.1 Family of Exponential Functions
Ex: p 148: 6,9,11,14,16,20,28,30,41,42,47,49,51,65,67,70,74,76,80,85,88-104 WP: 67,70,74,76, 88-92,95-104 EP: any unassigned exercises from 1-87
Ex: 1-4,6,8,9,12,13,15-18 Pb: 20,23,26-29,31,34,37,40,41 WP: 2,4,6,18,26-29 EP: 10,14,19,24,25,30,33

17 3.2 Comparing Exponential and Linear Functions Ex: 1-6,9 Pb: 10,11,15,16,19-21,23,25-28,30-33,35,39,40 WP: 2,5,6,11,15,19,23,25,27,30,32,33,40 EP: 12,17,18,24,34,38

18 3.3 Graphs of Exponential Functions Ex: 3-10,13,14 Pb: 15,16,17-19,24,27-36,38,40,41,43 WP: 17,31-33,35,36,38 EP: 11,12,15,39

19 3.5 Compound Interest Ex: 3,6,8-10,13 Pb: 16,19,20,22,24-26 WP: 10,22,24,25,26 EP: 15,18

20 3.4 Continuous Growth Ex: 3,5,9 Pb: 11-15,17,19,21,23,24 WP: 12 EP: 4,8,10,16,18,20,22

21 4.1 Logarithms and their Properties
Tools for Chapter 4 (p 189)
Ex: 1,3,5,7-9,12,13,16,17,19,20 Pb: 22,24-27,29-33,35-39,43-49 WP: 5,9,12,24a,25,26,36,38,47,49 EP: 2,4,6,10,11,14,15,18,28,54
Ex: p 192 1-10,12-14,16-20,22,24,26,27,33-37,40,42,46,50,51,53,56,58-61,64-68 WP: 22,24

22 4.2 Logarithms and Exponential Models Ex: 2-4,7,10,11,14,16,17,19,21,22,25,27 Pb: 28,32,34,39,41,44-53,57,58 EP: 5,15,18,20,24,30,31,36,43,56

23 4.3 The Logarithmic Function Ex: 6-12,18 Pb: 19,20,22,25,27-31 WP: 2,4,35,37 EP: 5

24 Review: Chapter 3
Review: Chapter 4
Ex: 1-14,16,18-20 Pb: 21-32,34,36,38,40,42-49,55-62
Ex: 1,4-12,13bce,14,16-18,21,22,24,25,28,29 Pb: 31-39,41-45,47,48,52

25 Test 2

26 5.1 Vertical and Horizontal Shifts Ex: 1,2,5-11,13,14,18,21,24 Pb: 26-29,31,37-39,41,44 WP: 7,26,39 EP: 12,15,19,20,23,25,33-36

27 5.2 Reflections and Symmetry Ex: 1-4,7,13,17-19,21-23 Pb: 26,28-32,34,37,38 EP: 5,6,8,9,12

28 5.3 Vertical Stretches and Compressions Ex: 1-4,8,10,17 Pb: 18-20,22,23,25-27,31,33-36,38 EP: 5,6,9,24,28-30,32

29 5.4 Horizontal Stretches and Compressions Ex: 1,2,4,6,7,10 Pb: 11,12,15-18,21-23 EP: 3,9,13,14,19

30 Tools for Chapter 5 (p 239) Ex: p 241 2,6,9,11,14,16,19,22,25,27,33,35,38,40-42,44,45,46,49,50,53

31 5.5 Family of Quadratic Functions Ex: 1-3,5-9,11,12,14-18 Pb: 21,23,26-29,31-35 WP: 5,8,11,17,18,21,26 EP: 4,10,13,19,22,24,25

32 Tools for Chapter 6 (p 301) Ex: p 304 1-5,7-9,11,13,15,17-27,31 WP: 23 EP: 6,9,12,14

33 6.1 Introduction to Periodic Functions Ex: 1-12 Pb: 13,14,16,18-20,22-28,31 WP: 9,23,31 EP: 17,21

34 6.2 Sine and Cosine Functions Ex: 1-6,9,11,12,15-17,19-24 Pb: 25-28,30-33,36 WP: 2,26,28 EP: 7,8,10,29

35 6.3 Radians Ex: 1,3,6-15,17-22 Pb: 24,25,27-30,32,35-37,39-43 WP: page 250 section 6.1 number 29,and 6,27,30,39,40 EP: 2,4,5,11,16,23,26,31,33,38

36 6.4 Graphs of Sine and Cosine Ex: 2-6,8,9,12-15 Pb: 17-20,23-25,28-30 WP: 3,7,14 EP: 1,8,16

37 6.5 Sinusoidal functions Ex: 1-3,6-10,12,14-18 Pb: 19,20,23-31,33-35,37,38,40-42,45 WP: 3,6,18,25,29 EP: 4,5,11,13,22,32,36,39

38 6.6 Other Trigonometric Functions Ex: 1-16 Pb: 18-21,23,25-28,30-32,34,35 WP: 9,12,16,20,28,30,32 EP: 17,22,24,29

39 Review: Chapter 5
Review: Chapter 6
Ex: 2-8,11-14,16 Pb: 17-24,26-32,34-39
Ex: 1-4,6,8,9,11,13-15,17,18,20,21,23-33 Pb: 35-38,42-45,48-50,54,57,59-61

40 Test 3

41 6.7 Inverse Trigonometric Functions Ex: 3,5,6,8,10-13,15-18,21,23,25-29,and TC6 p 305 17 and 18 Pb: 31-33,35,36,39-45,47-59,62 WP: 10,21,43,and TC6 p 305 number 18

42 7.1 General Triangles: Laws of Sines and Cosines Ex: 1,3,6,9,12,15,16,18,19,20,22,23 Pb: 24,25,27,29-32,37,38 WP: 1,6,16,29,32 EP: 4,11,21,26

43 7.2 Trigonometric Identities Ex: 2,4-6,10,13-15,17-19 Pb: 21a,22a,23a,25-27,31,33,35,41,43-45 WP: 41ab EP: 42,46

44 7.3 Sum and Difference Formulas for Sine and Cosine Ex: 5 - 10 Pb: 17,21,22 EP: 23

45 7.4 Trigonometric Models (Hw assignment only)
7.5 Polar Coordinates
Handout for 7.5 and 7.6
Ex: 1,2 Pb: 4a-d,5,6a-c
Ex: 1-21 Pb: 22-30,32,34,37-39,41,42,45 WP: 3,18 EP: 33,36
Handout for 7.5 and 7.6

46 7.6 Complex Numbers and Polar Coordinates Ex: 1-14 Pb: 17-24,27,28 WP: 8,27,28a

47 Review: Section 6.7
Review: Chapter 7
Pb: 39,40,41,51,52,53
Ex: 1-8,10-22 Pb: 23,25-28,30,36,38,40-43

48 Test 4

49 8.1 Composition of Functions Ex: 1,4,5,8-10,12,16,17 Pb: 18,20-22,25-27,29,32-34,37-42,44-46,51,52,55,56,58 WP: 8,9,10,25,26 EP: 2,3,6,7,11,19,23,24,28,30,36,43,47

50 8.2 Inverse Functions Ex: 1-7,9-11,14,16-20,22,23,25 Pb: 30-35,37,38,41,42,44,46-48,52,53,55 WP: 8,13,28,29,43,50,51,54 EP: 16,18,20,23,31,37

51 8.3 Combinations of Functions Ex: 2,6,7,8,10,11,14,16,19-21 Pb: 26,28,30,33,34,37,40,41 WP: 40 EP: 1,4,9,15,17,18,22,27,29

52 Tools for Chapter 9 (p 441) Homework only
9.1 Power Functions
Ex: p 444 13,15,18,20,24,30,35,38,39,41,43,52,55,56,58,61
Ex: 1,3,5,6,8,9,12,14,15,18,20,23,24 Pb: 33-37,39,40 WP: 12,18,20 EP: 2,4,13,16,17

53 9.2 Polynomial Functions Ex: 1-8,11 Pb: 12,13,15,19-23,27 WP: 23,27 EP: 28

54 9.3 Short Run Behavior of Polynomials Ex: 1,4,6-9 Pb: 11ab,12,15-17,19,20,23,30,32,38,41,42,43 WP: 6,15,17,23,30 EP: 2,3,5,10,13,21,24,29,33

55 9.4 Rational Functions Ex: 2,3,5,7,8,12 Pb: 13,15,16,21 EP: 9,10,20

56 9.5 Short Run Behavior of Rational Functions Ex: 1,2,4-7 Pb: 11,13,14,17,18,23,24,26,40 EP: 15a,16a

57 10.1 Vectors Ex: 1-3,6,7,9,11 Pb: 12-15,18,19 WP: 12

58 10.2 Components of a Vector Ex: 2,3,6,8,9 Pb: 13-17,22,23,27,28 WP: 6

59 10.3 Application of Vectors Ex: 1,3,7,8,10 Pb: 11-13,15,16 WP: 3,8,11,12,13

60 Review: Chapter 8
Review: Chapter 9
Review: Chapter 10
Ex: 1-8,11,12,14,15,17,18,20,22-25,27,28,30 Pb: 31-33,35,37-40,43-48,50-56,59,60,62,65,66
Ex: 1,4,5,7,9,10,12-18,21-24 Pb: 29-37,43-49
Ex: 1,4,5,7,9,10 Pb: 23,28

61 Test 5

62 Review for Final Exam

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